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Simplifying 8x + 5 + -4(x + 1) = 9x + 5 Reorder the terms: 8x + 5 + -4(1 + x) = 9x + 5 8x + 5 + (1 * -4 + x * -4) = 9x + 5 8x + 5 + (-4 + -4x) = 9x + 5 Reorder the terms: 5 + -4 + 8x + -4x = 9x + 5 Combine like terms: 5 + -4 = 1 1 + 8x + -4x = 9x + 5 Combine like terms: 8x + -4x = 4x 1 + 4x = 9x + 5 Reorder the terms: 1 + 4x = 5 + 9x Solving 1 + 4x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 4x + -9x = 5 + 9x + -9x Combine like terms: 4x + -9x = -5x 1 + -5x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -5x = 5 + 0 1 + -5x = 5 Add '-1' to each side of the equation. 1 + -1 + -5x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 5 + -1 -5x = 5 + -1 Combine like terms: 5 + -1 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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